In the circuit shown below, the following information is available. R = 500 ohms, L = 0.64 henry, C = 1 micro-farad, I = -1 amp. The initial voltage drop across the capacitor is 40 volts and the initial inductor current is 0.5 amp. Determine the following: Q4.1 Current through resistor, R, at t=0* Q4.2 Current through capacitor, C, at t=0+ Q4.3 The derivative dir/dt at t=0*

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In the circuit shown below, the following information is available.
R = 500 ohms, L = 0.64 henry, C = 1 micro-farad, I = -1 amp. The initial voltage drop across
the capacitor is 40 volts and the initial inductor current is 0.5 amp.
Determine the following:
Q4.1 Current through resistor, R, at t=0*
Q4.2 Current through capacitor, C, at t=0+
Q4.3 The derivative dir/dt at t=0*
Q4.4 Roots S₁ and s2 of the characteristic equation.
Q4.5 i(t) for t >= 0
Q4.6 v(t) for t >= 0+.
I( ↑
= 0,
ic
C
iL
iR
+
{R V
Transcribed Image Text:In the circuit shown below, the following information is available. R = 500 ohms, L = 0.64 henry, C = 1 micro-farad, I = -1 amp. The initial voltage drop across the capacitor is 40 volts and the initial inductor current is 0.5 amp. Determine the following: Q4.1 Current through resistor, R, at t=0* Q4.2 Current through capacitor, C, at t=0+ Q4.3 The derivative dir/dt at t=0* Q4.4 Roots S₁ and s2 of the characteristic equation. Q4.5 i(t) for t >= 0 Q4.6 v(t) for t >= 0+. I( ↑ = 0, ic C iL iR + {R V
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